Question

Total surface area of cylinder is 462.curved surface area is 1/3rd of total surface area.find volune

Answer 1

TOTAL SURFACE AREA OF THE CYLINDER(TSA)=462CM²
CURVED SURFACE=1/3 OF TSA
=1/3 X 462
=154CM²
 AREA OF EACH CIRCLE=(462-154)/2
=154CM²
PI*R²=154
R²=49
R=7
2PI*R*H=154
H=154*7/22*7
H=3.5
VOLUME=PI*R²*H=22/7*49*35/10
VOLUME=539CM²

Answer 2

$\huge{\mathfrak{\red{Answer}}}$

Curved surface area = total surface area / 3.

Curved surface area = 462/3 = 154.

Rest of area = 462 - 154 = 308.

$\longrightarrow$2πr^2 = 308.

$\longrightarrow$r^2 = 308 x 7 / 44 = 49.

$\longrightarrow$r = 7.

2πrh = 154.

• h = 154 / 2 x 22 = 7/2.

$\longrightarrow$Volume = πr^2 h = (22/7) x (7^2) x (7/2) = 539.

$\rm Volume = 539 cm^3$